Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 350/24, 570/8936 quickly i.e. 19950/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 350/24, 570/8936 is 19950/8.
LCM(350/24, 570/8936) = 19950/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 350/24,570/8936
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 350,570
Least Common Multiple of Numerators i.e. LCM of 350,570 is 19950.
GCF of Denominators means GCF of 24,8936 as per the given fractions.
GCF of 24,8936 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 350,570
2 | 350, 570 |
5 | 175, 285 |
35, 57 |
∴ So the LCM of the given numbers is 2 x 5 x 35 x 57 = 19950
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 350,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,570) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(350,570) x common factors =10 x 1 = 10
LCM(350,570) = ( 350 × 570 ) / 10
LCM(350,570) = 199500 / 10
LCM(350,570) = 19950
Lets's calculate GCF of 24,8936
2 | 24, 8936 |
2 | 12, 4468 |
2 | 6, 2234 |
3, 1117 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19950/8
Therefore the LCM of Fractions 350/24,570/8936 is 19950/8
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 8936
List of positive integer factors of 8936 that divides 8936 without a remainder.
1,2,4,8,1117,2234,4468,8936
Greatest Common Factor
We found the factors 24,8936 . The biggest common factor number is the GCF number.
So the greatest common factor 24,8936 is 8.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 350/24, 570/8936?
Answer: LCM of Numerators as per given numbers 350/24, 570/8936 is
LCM of Numerators i.e. for 350,570 is 19950
GCF of denominators i.e. for 24,8936 is 8.
Thus, LCM of Fractions is 19950/8.Finally, LCM of Fractions for 350/24, 570/8936 is 19950/8.